In this paper, we integrate out the right-handed neutrinos within the tree level matching approximation and take into account the one loop renormalization group (RG) effects[1]}, [2]}.
Then we determine the matrix rank of the effective neutrino mass matrix.
The renormalization group running of neutrino masses has been studied previously in literature with the rank of the 3-2 seesaw model being considered for the one loop matching approximation [3]} and two loop renormalization group effects[4]}.
However, we believe the stability of the 3-3 seesaw model with a matrix of rank two has not been examined against renormalization group effects.
